1015434230400 has 192 divisors, whose sum is σ = 3716207534400. Its totient is φ = 270782438400.

The previous prime is 1015434230381. The next prime is 1015434230407. The reversal of 1015434230400 is 40324345101.

It is a happy number.

1015434230400 is a `hidden beast` number, since 1 + 0 + 15 + 4 + 342 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1015434230400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1015434230407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5789956 + ... + 5962755.

It is an arithmetic number, because the mean of its divisors is an integer number (19355247575).

Almost surely, 2^{1015434230400} is an apocalyptic number.

1015434230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1015434230400 is an abundant number, since it is smaller than the sum of its proper divisors (2700773304000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1015434230400 is a wasteful number, since it uses less digits than its factorization.

1015434230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752744 (or 11752721 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1015434230400 its reverse (40324345101), we get a palindrome (1055758575501).

The spelling of 1015434230400 in words is "one trillion, fifteen billion, four hundred thirty-four million, two hundred thirty thousand, four hundred".